Nya is building a garden in her yard. She has 24 feet of fencing for her garden and wants it to be in the shape of a rectangle with a length of 3 feet. What does the width need to be for this to work?(1 point)
To find the width of the garden, we can use the formula for the perimeter of a rectangle, which is the sum of twice the length and twice the width.
Let's represent the width of the garden as "w".
The formula for the perimeter is: 2l + 2w
Given that the length (l) is 3 feet, the perimeter is 24 feet.
So, 2(3) + 2w = 24.
Simplifying this equation, we get: 6 + 2w = 24.
Subtracting 6 from both sides, we have: 2w = 18.
Dividing both sides by 2, the equation becomes: w = 9.
Therefore, the width of the garden needs to be 9 feet for this to work.
To find the width of the rectangle, we can use the equation for the perimeter of a rectangle, which is given by:
Perimeter = 2 * (Length + Width)
Given that the length is 3 feet and the total perimeter is 24 feet, we can substitute these values into the equation to solve for the width:
24 = 2 * (3 + Width)
To isolate the width, we can divide both sides of the equation by 2:
24/2 = 3 + Width
12 = 3 + Width
Subtracting 3 from both sides:
12 - 3 = Width
9 = Width
Therefore, the width needs to be 9 feet for the garden to work.
To find the width of the rectangle, you can use the information given.
Let's assume the length of the rectangle is 3 feet and the width is x feet.
To calculate the perimeter of the rectangle (the total length of the fencing needed), you add up the lengths of all its sides. In this case, we have two sides of length 3 feet (since it is a rectangle, opposite sides have the same length) and two sides of length x feet.
So, the perimeter of the rectangle is given by the equation:
Perimeter = 2(length) + 2(width)
In this case, the perimeter is given as 24 feet, so we can set up the equation:
24 = 2(3) + 2(x)
Simplifying the equation:
24 = 6 + 2x
We can then solve for x by subtracting 6 from both sides:
24 - 6 = 2x
18 = 2x
Finally, dividing both sides of the equation by 2 gives us:
x = 9
Therefore, the width of the rectangle needs to be 9 feet for the given fencing to work.